87330600 has 288 divisors, whose sum is σ = 348192000. Its totient is φ = 19192320.

The previous prime is 87330599. The next prime is 87330601. The reversal of 87330600 is 603378.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87330599) and next prime (87330601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87330601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 365281 + ... + 365519.

It is an arithmetic number, because the mean of its divisors is an integer number (1209000).

Almost surely, 2^87330600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87330600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174096000).

87330600 is an abundant number, since it is smaller than the sum of its proper divisors (260861400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87330600 is a wasteful number, since it uses less digits than its factorization.

87330600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 87330600 is about 9345.0842692830. The cubic root of 87330600 is about 443.6653187615.

Adding to 87330600 its reverse (603378), we get a palindrome (87933978).

The spelling of 87330600 in words is "eighty-seven million, three hundred thirty thousand, six hundred".